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Finding the Third Proportional to 187,722 and 402,781.50

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Solution

The third proportional to 187,722 and 402,781.50 is: 864,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,722 : 402,781.50 = 402,781.50 : x
  2. Step 2: Convert to fraction form
    187,722/402,781.50 = 402,781.50/x
  3. Step 3: Cross multiply
    187,722x = 402,781.50 × 402,781.50
  4. Step 4: Simplify right side
    187,722x = 162,232,936,742.25
  5. Step 5: Solve for x
    x = 162,232,936,742.25/187,722
  6. Step 6: Final answer
    x = 864,219.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.